7. George David Birkhoff, with H. S. Vandiver, A theorem on series of orthogonal functions with an application to Sturm-Liouville series, Proc. Nat. Acad. Sci. U.S.A. vol. 3 (1917) pp. 656-659.

8. George David Birkhoff, with H. S. Vandiver, With R. E. Langer, The boundary problems and developments associated with a system of ordinary linear differential equations of first order, Proceedings of the American Academy of Arts and Sciences vol. 58 (1923) pp. 49-128.

13. George David Birkhoff, with H. S. Vandiver, The generalized Riemann problem for linear differential equations and the allied problems for linear difference and q-difference equations, Proceedings of the American Academy of Arts and Sciences vol. 49 (1913) pp. 521-568.

40. George David Birkhoff, with D. C. Lewis, Jr., A mathematical critique of some physical theories, Bull. Amer. Math. Soc. vol. 33 (1927) pp. 165-181. (Awarded the annual prize of the American Association for the Advancement of Science.)